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Finding the Fourth Proportional to 10,560.62, 15,834.53 and 5,289.50

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Solution

The fourth proportional to 10,560.62, 15,834.53 and 5,289.50 is: 7,931.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,560.62 : 15,834.53 = 5,289.50 : x
  2. Step 2: Convert to fraction form
    10,560.62/15,834.53 = 5,289.50/x
  3. Step 3: Cross multiply
    10,560.62x = 15,834.53 × 5,289.50
  4. Step 4: Simplify right side
    10,560.62x = 83,756,640.81
  5. Step 5: Solve for x
    x = 83,756,640.81/10,560.62
  6. Step 6: Final answer
    x = 7,931.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.